A circle on the Coordinate plane has a diameter with endpoints at (6,8) and (15,8). What are the coordinates of the center of the circle? What is the radius of the circle? Identify the coordinates of another point on the circle. Explain how you found your answer.
 👍
 👎
 👁
 ℹ️
 🚩
1 answer

midpoint of diameter
= ( (6+15)/2 , (8+8)/2)
= ( 21/2 , 8)
equation:
(x21/2)^2 + (y8)^2 = r^2
plug in (6,8)
81/4 + 0 = r^2
(x21/2)^2 + (y8)^2 = 81/4
any other point?
how about the yintercept, let x = 0
441/4 + (y8)^2 = 81/4
y8 = ±√90 = ±3√10
y = 8 ±√10
so (0, 8+3√10) and (0,83√10) are two more points 👍
 👎
 ℹ️
 🚩
answered by Reiny
Answer this Question
Related Questions

geometry
The endpoints of the diameter of a circle are at (1,2) and (7,6). What is the circumference of the circle to the nearest tenth of a unit? a. 15.7units b. 31.4 units c. 62.8 units d. 78.5 units
 asked by Paris
 3,043 views

math
1.A line segment on a number line has its endpoints at 9 and 6 find the coordinate of the midpoint of the segment. Answer choices are A.1.5 B.1.5 C.2 D.3 2.find the coordinate of the midpoint of HX given that H(1,3) and X(7,1). Answer choices A.3,1
 asked by Anonymous
 8,838 views

(PreAlgebra) A
Lesson 7: Coordinate Plane Essential Algebra Readiness(PreAlgebra) A Unit 4: Real Numbers and the Coordinate Plane Has anyone done the Coordinate Plane Practice AND assessment? 1. Which point is located at (3, 2)? (1 point) •C •D •F •G 2. Which
 asked by Ash
 7,476 views

geometry
The endpoints of are A(9, 4) and B(5, –4). The endpoints of its image after a dilation are A'(6, 3) and B'(3, –3). can you please Explain how to find the scale factor.
 asked by Cindy
 3,092 views

MATH
Find the area of a circle with the given radius or diameter. Round your answer to the nearest tenth. Diameter = 42.0 mm
 asked by Cindy
 2,466 views

Geometry
11. PB is a line segment on a number line it has endpoints at 2 and 12 what is the coordinate of its midpoint Can someone explain this to me??
 asked by blahhh
 12,775 views

Physics
A stunt pilot of mass 55.0 kg who has been diving her airplane vertically pulls out of the dive by changing her course to a circle in a vertical plane. A)If the plane's speed at the lowest point of the circle is 95.6 m/s , what is the minimum radius of the
 asked by Kuwaiti
 4,840 views

Geometry
The endpoints of a diameter of a circle are A(2,1) and B(5,5. Find the area of the circle in terms of pi.
 asked by Chip
 1,848 views

geometry
The endpoints of the diameter of a circle are at (1,2) and (7,6). What is the circumference of the circle, to the nearest tenth of a unit.
 asked by katy
 1,765 views

Algebra 2
how do i do these problems???? Graph each pair of equations in the same coordinate plane. Find the coordinates of the point where the graphs intersect. Then show by substitution that the coordinate satisfy both equations. 1. 2x + 5=0 2x + y=8 Graph each
 asked by Jessica
 2,096 views

math
In the standard (x,y) coordinate plane, the graph of (x + 3)2 + (y + 5)2 = 16 is a circle. What is the circumference of the circle, expressed in coordinate units?
 asked by J
 3,547 views

math
two circles intersect at point T.if the small circle has a raduis of 4 and C is the center of the larger circle,then the diameter of the larger circle must be 1]4 2] 8 3] 12 4]16 5] not enough information is given
 asked by pierre
 2,227 views

physics
a single bead can slide with negligible friction on a wire that is bent into circular loop of radius 15 cm an in the figure. the circle is always in a vertical plane and rotates steadily about its vertical diameter with a period of 0.450 s. the position of
 asked by hosni
 1,635 views

Algebra 1
What is the graph of the inequality in the coordinate plane ?? y< 2
 asked by Sierra Elizabeth
 2,038 views

Geometry
In circle O, diameter RS has endpoints R(3a,2b1) and S(a6,4b+5). Find the coordinates of point O in terms of a and b. Express your answer in simplest form.
 asked by Anonymous
 1,352 views

Algebra
Which best describes your ability to work with transformations in the coordinate plane? A. I can graph translations, reflections, and rotations in the coordinate plane. I can use math vocabulary to describe these transformations. B. I can graph
 asked by HELP ME PLEASE
 4,083 views

geometry
Which of these is a correct step in constructing congruent line segments? a) use a straightedge to draw two equal arcs from the endpoints. b) use a compass to join the endpoints of the line segment. c) use a straightedge to measure the length of the line
 asked by Ana
 5,483 views

Geometry
In the standard (x,y) coordinate plane, if the xcoordinate of each point on a line is 4 less than twice its ycoordinate, what is the slope of the line?
 asked by Meghan
 2,266 views

algebra
1.What is the slope of the function shown on the graph? A line is graphed on a four quadrant coordinate plane. The xaxis and the yaxis go from negative 10 to 10 in increments of 1. The line passes through (0, 7) and (4, 2). A−56 B−54 C−65 D−45
 asked by jaz
 2,788 views

mathematics
how to Graph the points (–3.5,–5), (4.5,–1.5), and (–1.5,0.5) on the coordinate plane.
 asked by Anonymous
 1,263 views
Still need help?
You can ask a new question or browse existing questions.